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136223776 = 25133171033
BaseRepresentation
bin10000001111010…
…01110000100000
3100111022212220001
420013221300200
5234333130101
621303425344
73242611603
oct1007516040
9314285801
10136223776
116a992a37
1239755254
13222b75b0
141414033a
15be5c901
hex81e9c20

136223776 has 48 divisors (see below), whose sum is σ = 290012184. Its totient is φ = 62613504.

The previous prime is 136223761. The next prime is 136223777. The reversal of 136223776 is 677322631.

136223776 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 97535376 + 38688400 = 9876^2 + 6220^2 .

It is not an unprimeable number, because it can be changed into a prime (136223777) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 131356 + ... + 132388.

Almost surely, 2136223776 is an apocalyptic number.

136223776 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 136223776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145006092).

136223776 is an abundant number, since it is smaller than the sum of its proper divisors (153788408).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

136223776 is a wasteful number, since it uses less digits than its factorization.

136223776 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1373 (or 1365 counting only the distinct ones).

The product of its digits is 63504, while the sum is 37.

The square root of 136223776 is about 11671.4941631310. The cubic root of 136223776 is about 514.5382180396.

The spelling of 136223776 in words is "one hundred thirty-six million, two hundred twenty-three thousand, seven hundred seventy-six".

Divisors: 1 2 4 8 13 16 26 32 52 104 208 317 416 634 1033 1268 2066 2536 4121 4132 5072 8242 8264 10144 13429 16484 16528 26858 32968 33056 53716 65936 107432 131872 214864 327461 429728 654922 1309844 2619688 4256993 5239376 8513986 10478752 17027972 34055944 68111888 136223776